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Finding the Fourth Proportional to 98,165.52, 135,422.82 and 57,851.82

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Solution

The fourth proportional to 98,165.52, 135,422.82 and 57,851.82 is: 79,808.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,165.52 : 135,422.82 = 57,851.82 : x
  2. Step 2: Convert to fraction form
    98,165.52/135,422.82 = 57,851.82/x
  3. Step 3: Cross multiply
    98,165.52x = 135,422.82 × 57,851.82
  4. Step 4: Simplify right side
    98,165.52x = 7,834,456,606.53
  5. Step 5: Solve for x
    x = 7,834,456,606.53/98,165.52
  6. Step 6: Final answer
    x = 79,808.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.